{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 主要是用来演示和转我们以前做的Matlab的历史波动率的代码\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style>\n",
       "    .dataframe thead tr:only-child th {\n",
       "        text-align: right;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: left;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>ODD</th>\n",
       "      <th>CDD</th>\n",
       "      <th>HDD</th>\n",
       "      <th>LDD</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Date</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>2000-01-04</th>\n",
       "      <td>3.031553</td>\n",
       "      <td>3.103155</td>\n",
       "      <td>3.128641</td>\n",
       "      <td>3.003641</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2000-01-05</th>\n",
       "      <td>3.103155</td>\n",
       "      <td>3.067961</td>\n",
       "      <td>3.152913</td>\n",
       "      <td>3.052184</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2000-01-06</th>\n",
       "      <td>3.055825</td>\n",
       "      <td>3.154126</td>\n",
       "      <td>3.191748</td>\n",
       "      <td>3.040049</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2000-01-07</th>\n",
       "      <td>3.191748</td>\n",
       "      <td>3.264563</td>\n",
       "      <td>3.337379</td>\n",
       "      <td>3.169903</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2000-01-10</th>\n",
       "      <td>3.276699</td>\n",
       "      <td>3.307039</td>\n",
       "      <td>3.379854</td>\n",
       "      <td>3.241505</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                 ODD       CDD       HDD       LDD\n",
       "Date                                              \n",
       "2000-01-04  3.031553  3.103155  3.128641  3.003641\n",
       "2000-01-05  3.103155  3.067961  3.152913  3.052184\n",
       "2000-01-06  3.055825  3.154126  3.191748  3.040049\n",
       "2000-01-07  3.191748  3.264563  3.337379  3.169903\n",
       "2000-01-10  3.276699  3.307039  3.379854  3.241505"
      ]
     },
     "execution_count": 1,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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gd50mgak3kgKicMhIe4PHbR/bNm5r3GcSyjs1vF+zklvfvjm6zZO8HGOHJOgSQgxaP67+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\nAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 1000x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#-*- coding:utf-8 -*-\n",
    "import numpy as np\n",
    "import pandas as pd\n",
    "import scipy.stats as ss\n",
    "import matplotlib.pyplot as plt\n",
    "from scipy.optimize import fmin_slsqp\n",
    "%matplotlib inline\n",
    "df = pd.read_excel(\"SH600000.xlsx\",parse_dates=[0])\n",
    "df[:5]\n",
    "df.index=df.pop('Date') \n",
    "\n",
    "df.plot(grid=True,figsize=(10,6))\n",
    "df.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "def CtCHV(data, N, scal, out = None):\n",
    "###---------------\n",
    "# input: data : format must be PANDAS\n",
    "#        N : historial window\n",
    "#        out: assume using log diff returns\n",
    "# output std_CtC\n",
    "###-----------\n",
    "    if out is None:\n",
    "        dfrets =scal*np.log(data/data.shift(1)).dropna()\n",
    "        print('running log diff returns')\n",
    "    else:\n",
    "        dfrets =scale*data.pct_change().dropna()\n",
    "        print('running pct_change returns')\n",
    "   \n",
    "    T = np.size(dfrets,0)\n",
    "    print(T)\n",
    "    std_CtC=np.zeros((T-N,1))\n",
    "    for t in range(0,T-N):\n",
    "        std_CtC[t]=dfrets[t:t+N].std()\n",
    "    \n",
    "    return std_CtC\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "def GermanKlassHV(HDD, LDD, ODD, CDD, N, scal):\n",
    "    un = scal*np.log(HDD/ODD)\n",
    "    dn = scal*np.log(LDD/ODD)\n",
    "    cn = scal*np.log(CDD/ODD)\n",
    "    C1=0.511\n",
    "    C2=0.019\n",
    "    C3=0.385\n",
    "    \n",
    "    T = np.size(HDD,0)\n",
    "    std_gk=np.zeros((T-N,1))\n",
    "    for i in range(0,T-N):\n",
    "        prt1 = (C1/N)*(np.sum((un[i:i+N]-dn[i:i+N])**2))\n",
    "        pprt1 = cn[i:i+N]*(un[i:i+N]+dn[i:i+N])\n",
    "        pprt2 = 2*un[i:i+N]*dn[i:i+N]\n",
    "        prt2 = -(C2/N)*np.sum(pprt1+pprt2)\n",
    "        prt3 = -(C3/N)*np.sum(cn[i:i+N]**2)\n",
    "        std_gk[i]=np.sqrt(prt1+prt2+prt3)\n",
    "        \n",
    "    return std_gk"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "def parkinsonHV(HDD, LDD, ODD, N, scal):\n",
    "    un = scal*np.log(HDD/ODD)\n",
    "    dn = scal*np.log(LDD/ODD)\n",
    "\n",
    "    T = np.size(HDD,0)\n",
    "    std_park=np.zeros((T-N,1))\n",
    "    for i in range(0,T-N):\n",
    "        std_park[i]=np.sqrt((1/(4*N*np.log(2)))*np.sum((un[i:i+N]-dn[i:i+N])**2))\n",
    "        \n",
    "    return std_park"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "def RogersSatchellHV(HDD, LDD, ODD, CDD, N, scal):\n",
    "    un = scal*np.log(HDD/ODD)\n",
    "    dn = scal*np.log(LDD/ODD)\n",
    "    cn = scal*np.log(CDD/ODD)\n",
    "    \n",
    "    T = np.size(HDD,0)\n",
    "    std_rs=np.zeros((T-N,1))\n",
    "    for i in range(0,T-N):\n",
    "        tmp=un[i:i+N]*(un[i:i+N]-cn[i:i+N])+dn[i:i+N]*(dn[i:i+N]-cn[i:i+N]);\n",
    "        std_rs[i]=np.sqrt(np.mean(tmp));\n",
    "        \n",
    "    return std_rs"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "def gjr_garch_likelihood(parameters, data, sigma2, out = None):\n",
    "    mu = parameters[0]\n",
    "    omega = parameters[1]\n",
    "    alpha = parameters[2]\n",
    "    gamma = parameters[3]\n",
    "    beta = parameters[4]\n",
    "    \n",
    "    T = np.size(data,0)\n",
    "    #print('What is T=',T)\n",
    "    eps = data - mu\n",
    "    # Data and Sigma2 are T by 1 vectors\n",
    "    for t in range(1,T):\n",
    "        sigma2[t]=(omega+alpha*eps[t-1]**2+gamma*eps[t-1]**2 * (eps[t-1]<0)+beta*sigma2[t-1])\n",
    "        \n",
    "    logliks = 0.5*(np.log(2*np.pi)+np.log(sigma2)+eps**2/sigma2)\n",
    "    loglik = np.sum(logliks)\n",
    "    \n",
    "    if out is None:\n",
    "        return loglik\n",
    "    else:\n",
    "        return loglik, logliks, np.copy(sigma2)\n",
    "\n",
    "def gjr_constraint(parameters, data, sigma2, out=None):\n",
    "    alpha = parameters[2]\n",
    "    gamma = parameters[3]\n",
    "    beta = parameters[4]\n",
    "    return np.array([1-alpha-gamma/2-beta])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "def garch_likelihood(parameters, data, sigma2, out = None):\n",
    "    mu = parameters[0]\n",
    "    alpha = parameters[1]\n",
    "    beta = parameters[2]\n",
    "    \n",
    "    T = np.size(data,0)\n",
    "    eps = data - mu\n",
    "    # Data and Sigma2 are assumed as T by 1 vectors\n",
    "    for t in range(1,T):\n",
    "        sigma2[t]=(alpha*eps[t-1]**2+beta*sigma2[t-1])\n",
    "        \n",
    "    logliks = 0.5*(np.log(2*np.pi)+np.log(sigma2)+eps**2/sigma2)\n",
    "    loglik = np.sum(logliks)\n",
    "    \n",
    "    if out is None:\n",
    "        return loglik\n",
    "    else:\n",
    "        return loglik, logliks, np.copy(sigma2)\n",
    "\n",
    "def garch_constraint(parameters, data, sigma2, out=None):\n",
    "    alpha = parameters[1]\n",
    "    beta = parameters[2]\n",
    "    return np.array([1-alpha-beta])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 下面是单独运行 GJR garch和所有其他的 HV 波动率"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 52,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "running log diff returns\n",
      "3715\n",
      "Optimization terminated successfully.    (Exit mode 0)\n",
      "            Current function value: 8108.924472609767\n",
      "            Iterations: 14\n",
      "            Function evaluations: 117\n",
      "            Gradient evaluations: 14\n",
      "Initial Values= [ 0.04518947  0.05907906  0.03        0.09        0.9       ]\n",
      "Estimated Values= [-0.0072117   0.07473759  0.06925684  0.03495306  0.90581607]\n",
      "ested loglik= 8108.92447261\n",
      "Type     || mean|| std|| skew|| kurt||\n",
      "GJR Garch:   2.29939703901 0.91977025242 1.2922401577172655 1.4536881949885663\n",
      "CtC HV:   2.29273618598 0.803196148017 [ 1.00355617] [ 0.25103371]\n",
      "RogersSatchell HV:   2.13822741809 0.703822007964 [ 0.94143577] [-0.22443829]\n",
      "parkinson HV:   2.12649349285 0.71757266937 [ 0.9685373] [-0.16970829]\n",
      "GermanKlass HV:   2.15639081716 0.717433637156 [ 0.95310168] [-0.21669329]\n"
     ]
    },
    {
     "data": {
      "image/png": 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LVVUVI0eO5PLLLwdg3bp1bN68mR49elBUVMT333/Pu+++y2uvvUZWVhZvv/02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\nR02dL7apgRDMJ/cYmmA+nmQU22BHHk72KOfLO7TyKO8DcA8hpB7AXAD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U929sxI6VJzIu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irDc9OGND6yAYlnXzbG8NDBVJe1HmVGRop5Bz4DjrImKDBDQ1kphhD8rPZChIMES2cLCK9bi9Fd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\nQRAEQbDg/wEn0tvhKlMUggAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1f4a2e2a3c8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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MfB364MgHWFi6EKvrVlu6llDcgrijnswSjli5SnhGp40OW8ZP/SEzJxlMcQuL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\nAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1f4a346c5f8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "-\n",
    "        "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 69,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x1f4a2b0e518>"
      ]
     },
     "execution_count": 69,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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5tK/5+fmIjY1FeXk5oqKicPXqVYv9x44di1WrVnmlL40NA14iUgyGWcrgKMO7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\n+Gtq6V29AY2PIr8GFX6dNvHxHVC5Afb7YXDTunl7KGr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RtQZaoCjb8NQ/vyAkv/rJml3U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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1f4a36cc320>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#df_Vols=pd.concat([ested_vol,CtC_HV,rs_HV,park_HV,gk_HV],axis=1)\n",
    "#df_Vols[N-2:N-7]\n",
    "\n",
    "df_Vols.plot(figsize=(12,10),grid=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style>\n",
       "    .dataframe thead tr:only-child th {\n",
       "        text-align: right;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: left;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>ODD</th>\n",
       "      <th>CDD</th>\n",
       "      <th>HDD</th>\n",
       "      <th>LDD</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Date</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>2000-01-04</th>\n",
       "      <td>3.031553</td>\n",
       "      <td>3.103155</td>\n",
       "      <td>3.128641</td>\n",
       "      <td>3.003641</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2000-01-05</th>\n",
       "      <td>3.103155</td>\n",
       "      <td>3.067961</td>\n",
       "      <td>3.152913</td>\n",
       "      <td>3.052184</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2000-01-06</th>\n",
       "      <td>3.055825</td>\n",
       "      <td>3.154126</td>\n",
       "      <td>3.191748</td>\n",
       "      <td>3.040049</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2000-01-07</th>\n",
       "      <td>3.191748</td>\n",
       "      <td>3.264563</td>\n",
       "      <td>3.337379</td>\n",
       "      <td>3.169903</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2000-01-10</th>\n",
       "      <td>3.276699</td>\n",
       "      <td>3.307039</td>\n",
       "      <td>3.379854</td>\n",
       "      <td>3.241505</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                 ODD       CDD       HDD       LDD\n",
       "Date                                              \n",
       "2000-01-04  3.031553  3.103155  3.128641  3.003641\n",
       "2000-01-05  3.103155  3.067961  3.152913  3.052184\n",
       "2000-01-06  3.055825  3.154126  3.191748  3.040049\n",
       "2000-01-07  3.191748  3.264563  3.337379  3.169903\n",
       "2000-01-10  3.276699  3.307039  3.379854  3.241505"
      ]
     },
     "execution_count": 40,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 46,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "3463"
      ]
     },
     "execution_count": 46,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.size(df.index[253:],0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "3715"
      ]
     },
     "execution_count": 37,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#len(std_CtC)\n",
    "#len(std_park)\n",
    "#len(std_gk) \n",
    "len(gjr_vol) "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 下面是单独运行 Garch 1 1和所有其他的 HV 波动率"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "N=252\n",
    "\n",
    "\n",
    "HDD=np.array(df.HDD)\n",
    "LDD=np.array(df.LDD)\n",
    "ODD=np.array(df.ODD)\n",
    "CDD=np.array(df.CDD)\n",
    "\n",
    "\n",
    "std_CtC = CtCHV(df.CDD,N)\n",
    "std_park = parkinsonHV(HDD,LDD,ODD, N)\n",
    "std_gk_v2 = GermanKlassHV(HDD,LDD,ODD,CDD, N)\n",
    "std_rs = RogersSatchellHV(HDD,LDD,ODD,CDD, N)\n",
    "\n",
    "# or  using\n",
    "#std_CtC = CtCHV(df.CDD,N)\n",
    "#std_gk_v2 = GermanKlassHV(df.HDD,df.LDD,df.ODD,df.CDD, N)\n",
    "\n",
    "\n",
    "df.CDD\n",
    "\n",
    "dfrets = (df.CDD).pct_change().dropna() \n",
    "#dfrets =np.log(df.CDD/df.CDD.shift(1)).dropna() #log diff returns #comfirm many times\n",
    "dfrets\n",
    "\n",
    "mean_rts = dfrets.mean()\n",
    "var_rts =dfrets.var();\n",
    "\n",
    "\n",
    "#demo volatilities with given parameters\n",
    "startingVals = np.array([mean_rts,.09,.90]) ##change\n",
    "\n",
    "T=len(dfrets);\n",
    "\n",
    "finfo=np.finfo(np.float64)\n",
    "\n",
    "bounds  =[(-10*mean_rts,10*mean_rts),(0.0,1.0),(0.0,1.0)]\n",
    "\n",
    "sigma2 = np.ones(T)*(var_rts)\n",
    "\n",
    "args = (np.asarray(dfrets),sigma2)\n",
    "\n",
    "estimates = fmin_slsqp(garch_likelihood, startingVals, f_ieqcons=garch_constraint, bounds=bounds, args =args)\n",
    "\n",
    "print('Initial Values=',startingVals)\n",
    "print('Estimated Values=',estimates)\n",
    "\n",
    "analized=1 # or we should set to 252\n",
    "sigma2 = np.ones(T)*(var_rts)\n",
    "loglik, logliks, sigma2final = garch_likelihood(estimates,np.array(dfrets), sigma2,out=True)\n",
    "\n",
    "garch_vol=np.sqrt(analized*sigma2final)\n",
    "\n",
    "ested_vol = pd.DataFrame(garch_vol,index=dfrets.index,columns=['estimated vols'])\n",
    "\n",
    "plt.figure(figsize=(12,7),dpi=980)\n",
    "plt.grid(True)\n",
    "\n",
    "plt.plot(std_CtC,label='CtC HV')\n",
    "plt.plot(std_rs,label='RogersSatchell HV')\n",
    "plt.plot(std_park,label='parkinson HV')\n",
    "plt.plot(std_gk_v2,label=' GermanKlass HV')\n",
    "\n",
    "\n",
    "plt.plot(garch_vol[252:],label=' Gjr Garch Vol')\n",
    "plt.title('Histirical Volatilites')\n",
    "plt.legend(loc = 'upper left') #must show up otherwise label 'xxx' would show up\n",
    "plt.xlabel('Date',fontsize=20)\n",
    "plt.ylabel('Volatility')\n",
    "\n",
    "ested_vol.plot(grid='on',color = '#32CD32',title='SH60000 volatility with estimated garch')\n",
    "\n",
    "\n",
    "print('ested loglik=',loglik)\n",
    "ested_vol.describe()\n",
    "\n",
    "#type(std_CtC)\n",
    "#np.sum((std_gk_v2 - std_gk_v1)**2)\n",
    "#std_gk_v2\n",
    "\n",
    "#np.size(std_rs)\n",
    "\n",
    "#data= df.CDD\n",
    "#dfrets = 100* data.pct_change().dropna()\n",
    "#T = np.size(data,0)\n",
    "#std_CtC=np.zeros((T-N,1))\n",
    "#for t in range(0,T-N):\n",
    "#    std_CtC[t]=dfrets[t:t+N].var()\n",
    "        "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": true
   },
   "source": [
    "# 下面是选择运行 GJR garch和所有其他的 HV 波动率"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "running log diff returns\n",
      "3715\n",
      "Positive directional derivative for linesearch    (Exit mode 8)\n",
      "            Current function value: -8919.795525965841\n",
      "            Iterations: 14\n",
      "            Function evaluations: 56\n",
      "            Gradient evaluations: 10\n",
      "Initial Values= [  7.48271267e-04   9.00000000e-02   9.00000000e-01]\n",
      "Estimated Values= [  4.33428827e-04   4.28608607e-02   9.57139135e-01]\n",
      "ested loglik= -8919.79552597\n"
     ]
    },
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style>\n",
       "    .dataframe thead tr:only-child th {\n",
       "        text-align: right;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: left;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Garch estimated vols</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>count</th>\n",
       "      <td>3715.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>mean</th>\n",
       "      <td>0.022477</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>std</th>\n",
       "      <td>0.009509</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>min</th>\n",
       "      <td>0.007835</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>25%</th>\n",
       "      <td>0.015579</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>50%</th>\n",
       "      <td>0.020423</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>75%</th>\n",
       "      <td>0.027715</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>max</th>\n",
       "      <td>0.055106</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "       Garch estimated vols\n",
       "count           3715.000000\n",
       "mean               0.022477\n",
       "std                0.009509\n",
       "min                0.007835\n",
       "25%                0.015579\n",
       "50%                0.020423\n",
       "75%                0.027715\n",
       "max                0.055106"
      ]
     },
     "execution_count": 39,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
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Hq9y9c+dOBgwY4HbfM888w3PPPcfnn38OwKRJk5g2bZpHl123bh0JCQmOzwcPHnSUk6Sm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\ntfGXcG38JezNzWf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PWhorcmoiKcQa3Mzr9kODzJRZNRZbbXhkqBEwn/dm4R+l\n4N4dYA6BUO/7IIQQDc2vNdpa62UYwbTztnlO7zVwTw1trAHW+KF7QogAZY8dg20P+Z0r8SIL6gOt\ndbUlGKFBZs4Ulvq1D95w/trha0a7eWj5j/8Qp6kU7c9MlpRZ0RqaqSKsIW29bt++QE5JmZXwELPj\nS5PXM5FEdYSLLoWis173QQghGpqsDCmECFj2hVnyvSk38IGm5ox2cQBltHGZR9u3SNu+EA9UWDXS\nli0vLjNKR1pwzseMttFmxd8EbMo+5X1nT/4Muz6C3J+8P1cI0ahorXnis13srOl5jkZCAm0hRMAK\ncQTa/s0mG6Uj1We0A7V0xBdBJkW75mGOz873bp8GsLjMirIU0UXlUtqyu9fXsNd6F9kWralVl+1L\ns6/9ey0aEUI0BvnFZbz9XTY3vfZDQ3elTkigLYQIGLpCNNa/c0sAmoX6eSZSrauduyOswoN9Da2W\ncTbbHx9baQEbu0LbF4qSMitBxXmYlMYS2cHra9gz5oUl9kC7Fp0eOwf6XgeH031vQwjRKNh/VJT4\n+SH4+iKBthAiYP1hTA9aRgTTpbX3s154Q1N9rXNYcGBltDWaIJPiqetifDrf5CZ7//sxPQA4ePI8\nYGS0jx07CoA1NMrra9jn9i4qtdr6XEstu0DBsdq2IoQIcPYHqN2t1NsYSaAthAhYZpOi/6UtHVlW\nf7FqXUPpSGBltK0aLmvXjFuHdamzNjteZJSSLNx8gMeC3iOmcDMfb9hlXC+8pdftOTLapXVQOgLG\nVH9lRVBWXPOxQohGyz6da61/ZgQICbSFEAEtLMT/2WStqaF0xOhDrcof6pCuoaa8JpVOzcuhVVEO\nAFeaMvht0Jf8teAvXKJOGtcLvcjra4TZSlPsD5Hq2ua0S84Zrysec9nc/ugqeDwKSotq174QIiDY\nnxNpKiTQFkIEtPBgs6P8wF90DfNohwaZsOpA+gdA+zytH7gpHXkpkau+uRrQjuAa4LHg9wAoC2vl\n9TWqy2hbfBnHAdON1y1vuWzuk/mi8eav7eH7l71vVwgRUHz6+RDAJNAWQgQMdz9e62OxGGN6v6oj\nV8cMGgFSp13TAjs1cTnVagVLCQDPB8/jrqDyBXzbKmPu6sLIS7y+hmOFSduYOc+U4tM4tuxiLMtu\nLYWN/3FstqryaQpZ8Wf4/D7jnoQQjVJTqc22k0BbCBFwnIPI8GCz32u0dQ2zjkTaZj0pKPbvfN6e\nqmmBnZq4fKmYP97x9gbzOjo6ZbQB5pVNoLTM+wxTuC3Qnv9dNuD6JcrnLywptoz1lw/CwR9gWxom\nXaGtLW9CwVHf2hdCNDjJaAshRD2yB9r+rI+uqXSkZUQwAGfOB8bqkDXNklITx7n7VsHB7yvtt2jF\nhOI5vF82hr+X3USpBxliS0EBP//qKn7500OU5ORQ+ve/Ep1/jC32BWqc/viKfH2wNCq6/P1bybD0\nTvfHHdrkW/tCiAZXamlagbafJ6cVQojaCQ02o7Uxp6p9yri6ptFup7yzaxEeWIG2taalLGuglAJL\nKbx3vbHhyj/D6jkAbLH25K2ycezU3fhzWTcAOrWMqLHNnLvvoTQnh7ycHPI++QSA14EvOw8BJrg8\nDFmrEpzpX7hk4QH4w3Y4tQ9Co+CN0ZCzGWIm+n4NIUSDkYy2EEL4ibuktb0EoajEf3V7NdU8R4QY\nOYlAqNFOfHIFa/ce96lw5Nahncs//Pem8vf9b+XI2HmkljzK5JLHWWYd6nJe2+ah1bZ7btMmzm/a\nBCYTbe+7j6BLLnbsu/rARs5t3IS2alIzv+aubR9RdLoWSyt3uQKufdHx8VB0Clx0qVG/fUmCsTG0\nue/tCyEalCVAZneqK5LRFkIEHOf6Y+fZK6IIrvNrHT5TyM/HCqotTQmv8GCfv1m1Fau2EmRy/RFd\nWGLhtC2rnnHojNftPnldDH+5tq/x4eeVxutdG6B5B8p6X8eGT1d71V7xzz+zf8K1js+90rdgCg+n\nzR2/A2DQ79/n3RV/5eC0aQQ9/Qq3ZS43Dkz5FXrHdlSwj3+e/W40Ho7sMpJ9a9fSyf4tyWSGkGZQ\nnO9bu0KIBmdtYoG2ZLSFEAEt3M8zfqzanQvAvuPnauyDfTlxfygoKcBitZCWmUbyK9dz7WtTOHbe\ndSXEU+dLanUNpRRBZhOUFkJQGAz8LbQ3Au9IH5a5P/zAg473bf/4R0zh4S77j0e0ZHtro/yk2ScL\nXfYVbt/u9fUcgsOhWxKY3PwTFtocis/63rYQfrB811H++fXehu5Go9DE4mwJtIUQgS0s2Pgx5a9s\nckhQzT8GK84JXdeOnjvKsP8OY8A7A8l4+xQTd/2BCRmz+XrLWpfj6izQnzvEWGWxRfm0fZGh3te/\nW88aAW3PTRtpc+cdHDtwlvxT5QvH/H70Zbzaz6iVjti4jp2tu3LHmAcAODD1Fqwltfvi4Ja2Qs6W\nurIa+94AACAASURBVG9XiFq48710Xvomq6G70Sg4/3YxUBYJqw0pHRFCBLSK8zHXNU8esHQE2n7K\naK/cvYaZG16stH3Ht4dhZPnnWv+jU1oEP30CZw4Yn1X5l4wQs3d5F2thIaWHD9P6rpmYW7Tg5/Rj\nLH99JwDd+7elML+UcCwQEY25Y0cshw+zu1VnDjVv72ij5H//I6xXr9rdU0UFucZ/QohGyfmnXHGZ\n1fFvQGMlGW0hRACpHEiWPwzZcBlt+3Li634+4Zc+7NtYPnd1646R/O5fI1GX5dPpcBy3vjaTtQeN\nzLbzw/iJl3q/LDqr/wpL7zDeR7SGwXc4dnm7pPvRJ5/ibLNOLN4dx6v3rHYE2SaTYt+Px/kl6wzW\nrHymnAslr0MsAP9rE8v0s6H89H+vAXD2yy+9vwdPWQJjznMhhHec8wmB8AB6bUmgLYQIOC4L1tiy\nyUVl/vmBG+5BtiTIlu1du/e4y/ZjZ4tYvOVQra5/uOAw5p9bYml1jnvmjeamx4YQEh7E5UkxAAz9\n8des/mwH54rPUVhaXpZxTezFVTXp4uBPJ9mz0baAS/6R8h3j/wmhzVyOfTk10aM2z6enk7d0KYc6\njQHAapv3Nvl3scx8JYmUPyQQM+ISwrsbs3/sjJ7Eken/j4GhfWhrNZG1voTIMWM4s3CRR9fzyujH\njFep0xYBqKlNXecPzg9DVvxN5h8XZtDloS/qu0u1IqUjQoiA5igd8eP0fgAv3Jjg0XFFpRZHn+54\nL52MQ2cY1bMt7VqE+XbdBe/QpXAosWPbuGxPGHgZLcNa8vkr2wjKasVLD31Bi8I2RLY8xzkdWXM/\nC0pZ/OwWzh4vBKBnxk2oIqeZSpq1r3SOJ7+izf/mG3LumQWAThhO+7Awxt0Rh9aa5q2MMejUpxWd\n+rSiZNdRVv97B9F58Eu3QZBtZO6bWxUnLh1K+DffoMvKUEF1+E+Rve68KA8iWtVdu0LUgaJSi08P\nHl9InDPaFcv1lm49DLj+HA50ktEWQgQ0f0+tZ88wdWtbc/AK0Puxrxzv8wqNqfZ8XZp9z7EsLtme\ngKVdASPGxlba3zm2NZeMNXNRUXtaFBqB+LR8Y2aPXw/sVG3b6V9lO4JsgHlbH2HH4V4UWZuDKQja\nx1Q6J7SGMppd76/i3cWK8+Ft+eXW5zh2pIQO3aJo1jLUEWQ7iwwNYkeI8eeWn3mGs8rKKy2MPm04\neAnFIVFYz1U924s3rFZt1LCHRRkbimoxV7cQflJfU4Q2Zs6LW1U1XmcLA2PxME9IoC2ECBjunvXz\n98OQ9sURqlsZEuCWoZeWn2MLzmvbt592ZRNiCSNmeEdMVTyMeN3EkVgjih2fI8sieXv6IKIiqp6D\n2mrV7N5whNMdDrI5+ktORORgJYi1Z+/kzWPvUvLH/0FYi0rnOWeI/ve3a1z2lZ0tYM164/0PQx4n\n85AR8F/at+qscXiImcNBxm8irIUWfgmyUmiCrSHGF5ND0UmUnTpV5fmeslg13R5Zxt++zIRQ231J\n6YgIENtzyn+T9Nm2XxqwJ42DJzXaeRJoCyGE75xjXvv0fsV+CrRfWGlMuWU2VR9o21eHBDhXYgSK\n4ba++frAzoatWwHo0rttlceYTIqZz4xlxj+uIDfqf5SYiig5XUzRuar/oTmZU0DxuTJ+bLaG9E5f\nsST+H8TG73Hsz9ziPgh1zmhXfDgy84NVlY7/9SODuDSmdZX9CAsyc9qswWy0dcakGdC5JasiS+nc\nJYij7QdTtOunKs/3lP2Lz+vr9ktGWwQc57LsJz6r/d/3ps61dMR9yaAE2kIIUUfC/LxYzO4jRtBZ\nU6Dt/NBkQZEt0A7xvX7824Pf0nnvQAA6tHYNtHVZGdpa3mZwiJnw5iGEtQ7FYirj53eyePP/rcNq\nqXxdbdV896Hx5eGXFj/TobCMyELNrIh/k3OTsRrksQNVBNrBJqIsiisLgzlz7LzLvkP7CzFbigkK\nMf7Z+M3fr6DtpdUvde6YAz3ceD1ptnJR1AmsWtOme1tKQi+iaP//qm3DE/ZfNWtNeaa+SDLaIjBE\nhjSOWuJA4UnpSGMKtKUiXwgR0ILNJoLNyu+1jTWVjjgv6HKu2J7RNn6Eni/xrkZ727FtfDrvR7oR\nT9u+4UQ2M8owSnNzyZk1m6IdOwhPTOTSN17HFFleO24KMhNeVj5TyC+HThLdxTVIX/S3zZw4VADA\no6f30eOdKLTVwv728PGwT6BFR6IOhbrt15msPO7IN2qt05dlO7bnnyoiO68l7Yv2Mun1WS7nnC89\nT0RwBKXWUt7c8SYh5hCm9Z1GQWkBb2e+QlALK7nBY+hSYCHnki84VPot5sjfYGpu1KQfey+NdrPv\n8Xp6QWcuJUf20pEVf4bEqT63KURduVDmGVm85RAdLwrn8sva1HxwNZx/A1DVz/3/z955x8lVlf//\nfaaX7ZtNT0ghpEAqkEBooUgvSu9NmqCC/r6iInwVlSYoyFdFFEGDUqV3CKQQQgrpvfdNtvednXp+\nf9y5M3fq3tk6s7nv12tfM3vnlnOnnPOc53ye56lvNQxtAwMDg4xJNSA5rGba/N2bdaRdj7ZGOqIG\nP3akYmSDt4HXn1jKqMbJFI2yctn3j8OzahV7vntLTGCgZ+VK6l55ldLv3hxtY1yU/bqtW2MM7Yaq\n1oiRvWD4X/jtW24CIeW+RlXAj98OsemIGsoHe2ms8VBQqhj41fua+Pqt7VTubYqcK7hrG3P/53Qq\nttQz+75FmEIhJo+Nvc9/rvsnv1/+ewAKbAU0+hQv8ksbX6KiVSka4xwCK0JNvNk6FFfZfAAcg/6L\n33yhcp8hB/59+7ANSx/cmY4YQ9sRzi/uqVVyaZuNYc6gd+kDxQ3bxR8M8ZP/rgFg16Pndepc2sJc\nqeon/L/XV3PJ0UM7dZ2ewpCOGBgYZB2CWKPXYTV3i0f7v8v3RZ6b2/GourTSEW96jXYwJHng7XXs\nq4uVXwC8NP8tBjWORlglV/3PiQiToOrPf4kxso9YshjnlClUPv44FY8/Hhl4TBoNdVAE2bMrtgLi\nxvD9/Gfqg5y6YgOBeiVg0n3iiRRepBi2loDSphd/8TUf/GUNz/5gHq/+dhl71tfS1uinsHIpNm8D\nbbv3MrKfm+WzFW334IOLcN12ASe8fAIbahSd6YL90RLxjb5GxhSP4aYjb6LaoxT2sZgUI7fS9BFm\n967IviZrE/fvVDzjNaVH0rZhY9L3XC/apWZMJph1n/I84El+gIFBDxI6BCztrrxF7ani6yeocrRc\nwpjqGxgYZD1Oq7lbKoR9tuFg5LnZ3F4wZDLpSHL9+Kq99by4eDebDjZy1zhlW6svQGVrFdsX1DHc\nMog7fnc6JpOg6Yu5tHz5JUVXXkHB2efgnDYVk81G/3t/wu6rr6H2H89jcrkItbRy/JtfsnLKPXx6\nxAsct/98vAdjvfxbVxyk2rWPUcOGcdyBKtyD2hjyjzcxjZyCEIKSG25g1z1/i+y/a41iELvzTByW\nV4PZ30S/ebOZe8rT7BXjWfnpHqz+ZvzWPI49rYwbFtxBo6+Rp1c8zdrqtTT6Gpk5eCZXjr2SNdVr\nuGXiLbitbm6ddCsSiU04mfLX67AWrMfs2oEM2bhzxKs8s+c7VNv3YxsQoLpxMt7Nm+CsMzP89KIk\n1ABxhwM0/R6wp9eRGxh0N4eAnR072e3subQFa+L6VtUJ06HKuL1E7k0NDAwMDjmcVnO3BENqM4kU\nOVOny4OoTASgutkHgF0tDx+INXjV7B2tmjZP+83H3Pz3XzOyejKjji/G5rQQ8ng4+OCDWA8bTtnd\nd+M+bgYmm01p27RpjJ7zmXK9//sTtc8/T3H9VmYsvo+zT7oYU5kPc0U+oXDQZGujj8Y9fnaWrOU3\nR/0Ue43ENXoA5lFTI/pn28iR9KteSUjuAZRy79d/fxDT37+Tga/cT9kbjyGQjN3yKgCL3tyG35pH\nQaCK/VdM50CLUlnyq/KvIjKRmYNncurwU7l72t24rYqePN+WT4GtALvFQqDuRAAs7u0EPcNx2y20\nbP8RAFuLV9JYMIL9z7+Mv7zjac+0A3MwJPGZwjm9/YkrCgYGPY3h0e74uZbtqqOqKZreNBffS8PQ\nNjAwyHocVlO3lGDXeqnbq9amNcqX7arlwffWYw17wb1x+vFk+bXd1nVcsPMCcAQ549tKqfOWxYsJ\nVFRQ9oMfYikuTrimbehQRr79Vsw2d1sD0/ufQv8R+dgDLvZXKV757SsqAUHdoD3kfbJYafPo2BzX\nJqcT/4AgZ8x/jAuGr+SoV29n36UXIzTeqLtP+y4/nXwipyz4ETavkv930pA6Ptr9SUL7Lj/icq4e\nf3XK90wIgTU4OPJ/yFeK02Ym5BuAt/o0ltg+B6C28AgO/OpXKc/THlqP9g9fXsk9b4RTGdbt6vA5\nDQy6C3+SbEEGUbS/5zkbK/jWk/M1rykvdnfMTldiSEcMDAyyhlTOCke3ebT1p93K0xji76xSvK8z\nRysShfhJgCUcWKkE8php9jVzdCCIWVq45uczcbgV73nVU39U2jH92JTXdYwbx8BfP0iwto69i5fj\nX/4Nrj88zFBLAVs4kW8+3M2wmwazYe1umq01nGcZRPUjf1COHZFYZr1lRBnFO2tomf0c6t0PeepJ\n7GPHsmLLfA4cVIIbA+f8jON/9EvAhO/jZ3l97q1cMOoCTh52Mk8se4IPL/4Qm9nW7vvmMOcR8IwB\n51akvyjynsuAm3pnpXKt4eNpWfAvfLt2YRsxot1zagmGJDf/c1nk/w/WHmCUCBcXqtkGo2ZldD4D\ng64m3gvb5g9iTVGgKlfR3mIwJNsNLk9/rtj3S5thRDXCu6uuQnfQtz5pAwODPkF8XKLT1nmN9oif\nfcAPX14Zd179voZ+eYlGpTcsGYlvmzpMqJKSWz+4k7G1k9juaKJogCKvqHvtNbybN2MbORJLWeqC\nNQDFl19Ovztupy6/lHy/B/MnH1A8dy4A5UuUgL/9VQcpbK7jpEcUz3PhyFZM+Yk6RmGPLZU+Zu1q\n8s46k43uBj7Oj+a0/qK0gnFfLeDwhV9ww9xbAfjelO9x9oizmXPZHF1GNkBdq59AUHlHgt5BkaBT\nGcgnZAoiin0ccI8nJEwc/PWvdZ1TS02bZPnuuphte2R/5cmSZzM+n4FBVxPvQMglb6xetBrtzvbV\n6cQhanGq7ojZ6S4MQ9vAwCDrcXZRer9348ofZ+JzKc2zM6zEGbNN7ewTDO3wyOrxBWkINNBvxXgc\nATfLzS6k38+2007n4P/+EvfMmYx69x3dOaTn7I1qjt2tB/GZGqgu3Mu6+fuwVxZT0hhNzzfwmHrI\nH5xwDuc0RbbS6ITZp5mY+tLRTJ49mes+uo43t75JsXUQdrOToAxiKS7mk1ql7vppw05jWH7HUvB5\nK8/FVzeDYPOYyCQq0DwBgNWD59JMPjtGXgCia4akgLpY62tJv6OBQQ+gerTPnTgQyC0jUS/ayYQ3\n0Lm+Ot6jnWx7d9dV6EoMQ9vAwCDr6a70fuoA+Kerp7a7r9kk+PLe0zis1BXZFjW0YwcWdTjw+IM0\neVoZVzWDDa5q9llC1L/xJv7ychwTJjDs2b8irOmDMLXsze8f87+d7fRrGMb8l7cAMGT/lww4up7x\nV5ZjMgPTrk84x8zrfsKqF+7mlnssvD8jdgiYPnA6z53zJ9xWJ55warz7v7ofgAdnPqi7nfGEvIPx\nHvwOYObow8K6cWnhgeMeYFHBhxQdZqN6xMl4Vq+OqYip69wp3F+eyTcpWUcMDHoZ9Suqxm68uWJ/\n7zWmm4hJyddZj3b4ZPH+B+1vPZdWBQyNtoGBQdaQKkVUdxnaHl8Qi0lw/qREz28qdtdEvcpqZx+v\nH9c6ZHxtyj7bHU0UtwapfPKPOKdM4bCXX8q4GuJXgydx9yk/5LnrSvH/7FEs3oH4w3Z6jXUBJfWb\ncQ9QMqJw5UuQn6jRFkJw1fF3UDJoJAW2Aqb0nwKA0xL11te21fL6ltcj+bIBCu2FGbVV5ZjDivkm\nLO24eOoQyvKjVSmPKp4BgHdIDZ7d+TTKAur+/R9Krr9O9/lTjbd+az7Otgblw+hE1UkDg86iemLV\n+IQn52zh7jPG9GaTuhytt7nTHu3wo9tmidQsgKhsxCSUuBgpZacqyvYUhkfbwMAg64jvOp1Wc8oK\nYR1lT00rzy3cSSCVS1QHEY12QkaU6Dl94fLsNq+P3y18Bun1Mujhhzs0QISEiS3Fwxk+51Ysop7+\nFa9S4yzn9UmPcVzdbAAsjnBbxqTPS33WiLM4fvDxOC3OGCMbFJkIwPqa9QAcXnR4hwe0e844IvL8\n/vMnxLwm/UXkWfOo6LcdgOrSiVQ89lhG5/cHk39+XnsJyCBUbc6wxQYGXYvaxbgyiAnJFeZuruSO\nF5fHeZs711erK43OuGD1UGTCYkHKzhv0PYVhaBsYGGQ9TpuJJm+A5btru+yc26uaO3Sc2SSwEuBk\n02pG+bcC6T3aHr+SA/aUnZsY3FxN0UOPYB81MuPrzt9SBcDt5vcAsOUHGLttG8NL7+OhplVMOBjC\n4gpgtoUvbtYvSYnnqVOfYsW1KzhrxFkAXDT6og6f64TDSyPP46tvCiEYXTSat+peoWSIm5bJZ0Aw\niGfVKt3n96YY02uGnqE8+cuMjNtsYNCVqP2Bw6o/y1GucNMLy/h4/cEYz3NXSUfis0KF4lYG4tOq\nZiuGoW1gYJD1zNusGJmXPPN1p8/12QalbHlH00+5bGbOMy1mtu0xXhM/42HLc5S07YnZR+tjPVCt\nyCbGVuzmmwFjESfN6tB11+ypYaZpHT+3vgyAs1RJeXXy+zZO8LQR9JqwOsMDz+TUua31IITAarby\nxClPsPza5dxw5A2dOpeKKW7E8QVDnD3ibDwBD9WOfVQ0uajpdxRV//cn3edv8Cb3aDc5NHKgDHXf\nBgZdSbyBCBDqxEpaNtLcFjW0u0o6Er8CoL5las2D7qit0B0YhraBgUHWkCqP9vryxi67xq2zvwE6\nbmj/6epp9BfRdHJXW75gRuuCmH3U+7DlrWfgzqPwu2sYXbOZVWVjEr0969+CXxXCvy5U/vc2waqX\noLkyZrcL1v6Al2wPR/4vOCwc6CckG18ZTGuVHU+NDX7VAN95pkP3lgyb2dZlOsh4j16rL8CV467E\narKy3KRkN1k/4Wa8O3boPmddCkPb4w/B6NOVf3Yv7FiDDQy6ALU/cGq+/y2+QIq9c5Omtmiu6857\ntBMnJoFgiGAwdnt31FboDto1tIUQbwohzhOii/IuGRgYGLRDvF338Hcmdvk1OmponzKmH5eaYw3r\n+lCsxlkiEZZavuWxYA86GXNgNR6zjTnDj0kM6nz9RuVx53zF4H5kKLz9PXhiDDRXwYrZ8NUfGdGw\nNHJIwz07MVkkeUM8eOui+azzR3dcLtITqEU6nr3uaEAZkC0mCz+c+kOWl86h/+F5BEx26huh9qWX\nAJDBYMp0XwB1bVHv2aMXR78nbf6gEhAqTLDzy+64HQMDXcgkmuOWVJqnHKUpRjrS2fR+yqN2YtLq\nD+INKu9ZoVPp5/qSR/svwNXAViHEo0KIsd3cJgMDA4MYjh9d2v5OGRAMyYxyaEfwe+CduzjCFJue\nq67VF+NdafY1cZbYx4SaKUiLnxEr3+aNw0+hyeaODkKhILxyTfrrPXE4vPsD+Ox/I5t+5b8em6sQ\nHEVRPXaYoa/N7chd9Tij+ilFe1rD79lR/Y4CAdazK7BaBbuHnUnFr3/DxnHj2XTkUey78y6CDQ1J\nz9WmGWtNmhlaWyAEVge4+kHzwe67GQODdlB/pVrDsdnrT75zjuGwKmZkU4x0pGuCIbUrYK3eIL6w\nJEU1tFv7ikdbSjlHSnkNMA3YBcwRQiwSQtwkhMhu94mBgUGfoMDRtdH6bf5g5tlGpIQvfgur/sNr\ngVO4yveLyEtmQhxsbIv8P2f5x0ysmsFOZw2TplVgkkG2FQ0FNMudG96BTe/D0GNh/AXR6/QbC9e/\nk7QJN/ru5Z/Bs7GaBdy7k6L//Q8ApbfewtiVK8DdtROSrmL8oIKY/9UBVH0vpg2YRoGtgF+uuJ/h\nU0upKzsyRufePHcuFQ8/TDKCWueZZvYUyVLjLIK2rpMeGRhkSjKNdl/xaKu/Za10RFsyvSM8+N6G\n8LmjJmqLLxAxtEvDVXq1xn02o2v0EkKUAtcC1wErgf8AJwI3ALO6q3EGBgYGoFRlHFXm7rLzefxB\n/MEMlje/eAgWPgkhP5ht3Nt2OyBZExrJJNNOTIQiA83C1d/g/HQIAO9bHVzkUQI5m21KoRtL5Rp4\n8dvKeYtHwM2fwLbPlTR0rlLFyLbYYdz5iiEOcP6TrNq0jXnrlJzXZpMAIXAdfyLjN23s9PvR3bx1\n58yYDAERjWVYRmMSJlxWF42+RpYGF1BqnsD95zzJf39/JpXb66m+6FS827YnPXdIY5LHerTDhozN\nbVSINOhVolk0oiZXLlU2TIfDYgb8MUZvhcbp0BEaPEpfGu/RtlkUw7vEreTi1xr32YwejfZbwJeA\nC7hASnmhlPJVKeUPgLzubqCBgcGhQzof86QhhV0Wqd/mD0aKH6SluVLRTS/4nWJkAwTDBWEQXOl7\nAAATIb7YVEmbr42Fr2zDIm18ll9Fm8mEbeUqQmYz5WFv86BNSr5r3P3hsn+ByQxHnAnfXwY3f6wY\n2QBjz1Uez38KjrmZtaNvA2D5/WfkRJEGLQ6rmUJXdAFU1apql35/csxPAPhUvAHA6R4bz9w5jzd+\nv4qlsx7BezA2OFRFm1BE+65EArKsbvC3YmDQW6gebdVQhNwJ5GsP1evcotFoa1P9dQZtGE2MR9ut\neLSbc8SjrUej/Xcp5QQp5SNSygMAQgg7gJTymG5tnYFBElbsqeP5hTt7uxkG3UqiIem0mbtMk9fm\nD6YsdBLDl3+IPh96LEy/Db47J7IpGO5CzUiemrOVf7/+Efl1/QlNb2CVyc1xB9ZRsPBLKo4/nTpH\nAeeaFjN095sw4iT4yVYYPCX1tadeAz/aAFOVKonqvCDXjOxkKF6w2OwEZ444k/tm3EeDtZqXhsUG\nm3pCDrYWnkjL14npHbXrEtr0gR5f+BWby/BoG/Qqak9jEnD/eeOB3NEXt0dUOhI1ertKFqOV97X6\nAvjCwZAl7tySjugxtH+bZFvnk9kaGHSQi/+yiF+/vyEyuzU4NOhMGfb4rBVt/pC+FFQV6xR5x68a\n4JY5cO7jMOzYyMuhcBdqIoRZhmj42kpzXg0nf2sWf5z/R3655J8A7D77cu4wv8tfbE8rB57/pL6G\nFw4Bs7LcrHrFOpgsJaswmQQ2iykhO8FlR1wGQMOAz3i6wMO3Hz2eO585FbsDqvtPYt9d3yfk8cQc\no12YECSRjlhdhkfboFfZEE5PKoTgzAkDAcVw7Auo2Zu0XuzO3tsRAxSxxARNbEeLN0hNs7KaOKzE\nhRB9QDoihBgohDgacAohpgohpoX/ZqHISAwMegXV0Khq9vZuQwx6FKfV3OH8rPEqEY8/GOmkP7r7\npNQH+pqh3xEpXw5qDO0xogZHwMXIs93Q2MgR9fsAWHnfb/CU9OO7lo8AuMX3/6DfmIzvQfYhjzYk\n/zwtJgt3TbkLYW0k1O9LWr0BNtRsYPRxg/DnlRFqbcW/PzbjS4yhLeDLe08FNN5yWx74DEPboPd4\n/JPNAARDoYhsqq9otFUJnlbG0dJJb/2xI0ooddsinmtQjHd1zB9QYCfPZqGxD3i0zwKeAIYCfwB+\nH/77MXBf9zfNwCA5qs7N00c8AgZR0uVLdlrN+IMysyDGMKEEj3Yw0kmnDbL0NiuGWqrzhj2oJuAk\nj5tWayPnnHAyplf/DcD/O+kuXih3M6jma8pEA7f77mFO6OiM26+9hz5iZ+O0mpPqVM8bdR5SChwD\nPuDij2dy5QdX8lH5e/gDgqrSiTR+/EnM/loFUCAoGVbion++XWNou8BvSEcMeh+vPxQJBO4r0hFf\nuD+O8Wh3UqMtURwKdktslhY1RsdiMpHvsOS+dERK+S8p5anAjVLKUzV/F0op3+zBNhoYxKAWvYho\nMA36HMmMSdUT1BGvtmqkqh4Sjy+I1x9ECGI68xikhJYqJT1c6pYSkoK2wHCKvKUsGLiIpt8+guW1\nf7OzYCAbSkeytT5EYNdiglKws2hmzHJoJqhzBVMfsbQdVlPSghPD8och9v84ZtsKm1JwZt2Rt9C0\nbEXshCwY5OpNnzKwpSYy6Dus5qgsxeoCT52R4s+g1/EGQpFc2n3F0G4N67G1BWs669GWUob7Zk16\nP28gonUXAvId1j4hHbk2/HSEEOLH8X891D4DgwRsYUO7r2jcDPQRyb3cAUNbXd48dWx/QClmEpQy\nvdHasBfa6mHAkenPjQl/cAD19ip++vo8Gt5Q/BC/n3ZlZJ8y3z72yTImDO9PbYsv1akSWLStmsPv\n+5D6Vh8yPMz0DTM7rLkPD8j76z38/M21kdUKB0Np3nYvT8+Yw8rrVlKRv4uFU19Cmizs29bEpvET\n8O3eDcApq7/guk2f8uT8pxn4zz+x57u3UOZvinrLjzhLeXz12oQ2GBj0JN5AEJNJhFdz+sb4pY7D\nzRqjt7Njs5RKP6fN0tLiC0blc9A3PNqAup6aB+Qn+TMw6BUi0pE+onEz0IfqCWrrwErGS0v2APDB\n2nIAfvjySkISzKkM7WAAXrxYeT4kfXKl1lA+RS2jaJa7KW1rUra9/Rk39vuUkeIA/aljlv9LdspB\njBmQz8HGNt1e+WfmbycQkry3upyHP9wE9B2PttOmBLeGQpIH3l7Hy0v3sHBrNaB4u6W/BG8ghMVk\n4drx17LBtgyrXbBlzOUsn/pjNp97EXt/8lMmVAX4Ytafka7BDPziPVq++oob5v0z6i0/bCYMnwl7\nl8bmAjQw6GFK85TUnW67meY+ULDmk/UHIxI8VTpiMYlOe+ulVPo5rUe71ReIrGQJIRRDO0eq16lp\nDAAAIABJREFUa6YsWCOlfDb8+GDPNcfAoH2iGu3c76gM9NOZIKJdNYpGV5vlIhSSqfXOO+ZCzVbl\n+aDJCS9PGVbEqr31ALztvwSztDBl0wpq7fnMWLyATVvXcZ1lDtdZoqkA35Inc0y4dHBjmz+mGEMq\n1NWbB95ZH9nWR+xsHBYzX26t5tt/+YqBBQ5AWVqH6KRK/awHugcSMoUo77eVMu/heB0lbBx3Pf49\nLupHKcGqK6fcA4AIBRmy/7PYyczES2HPImg6oGRyMTDoQb43azTPzNvOsSNKAHDbLX1iRfb2F5dH\nnqsp/dx2S6c12qGwdESbe7/FG4xKR1CkIzuqcyP2Ip105Ol0fz3ZSAMDLdaIdMQwtA8lOmNoqwZ2\noTPacYekjKSmSqBF8axy55Kklu3Ltx4Xeb4rOBqPeT+T9qxmyVET8AW9mOLyNt8bupOPOCFy/UaP\nPk+MdulUpa8Y2urnuWZfA/awYe0Ne6EdcTrWS4+4lBmDZrAs/4vI8VVlU6gvPgIfPpbao++nNJnZ\nN+xslm6ril6sdLTyWLOt2+7HwCAVAsXTq+KyWWIKvPQFVI+222am1R/sVHExieLRHjewgCcum0z/\nfHvYo628LgTkOSx9omDN8nb+DAx6BdXLZ0hH+i7JbMmIl7MDEyz1fE6NF9kXCKWWYawPx3u7y5K+\nrBqJAG7vAPo37MXiDPKj0W+x6d0/YPJFA+8+CE7nNd+JmAS4IveQXsKwdl8Dv35vQ2RSqaXPSEc0\nn4W6RKx6tB1xn7Xb6ubRkx5lX2FsufnRR/fn46Ee5jsDPFnooe7YIkaUNCJCfo6u3Bz1ahePVB7r\nd3fnLRkYJEXJohH9P89u7rKiLtmATdNPue0WpITWTozP2ixRlx49lEFFTkWjHd4mEJ1K99rTpJOO\n/KsnG2JgoBdDOnJoohpmN76wlM2/PSejYweEpQk/PH0M9721FlCi5JM6tOv3wNZPleeOwpTn/Oju\nk7jwqS9x+kroV1VB4YhWhAmmbXkKtij7fMv7O7bKoYCiB1cNyGTZNrRc/ffFNHkDXDB5cMJrfcPM\nBrs1OjhHDO3wwJlsUtXP2Y+RxSN5d8KfsAbtHDaphBcOLME7zEs+4Cm/lBnH30G+NciuRU18a9/q\nqERHzRxjZB4x6AWU4L5Yj3Z9q/6g6Gwn32GhJhzkPbosj62Vzazf38CMUaUdO6GMrfLqtplp9UY1\n2gg1a1EonKEku3vFdNKRp8KP7wkh3o3/67kmGhjEYni0D00cEXlB5gFtqmf4imOHcd1xhwHw2foK\nTMksbVU2cvFzkaqMyRg7IJ8B4STO7pYKTONj63itCB0eMbIhHNwTNi7b88RYw4bngHx7wmt90aNd\nFNZiqoO1KumJ/41fNvYyygu3srtkHQv2LcAbjBatcg7+Lz9edgbP7nkdgJEhFw0Hw/IRNRf6p7+A\n5ioMDHoSiYyZIefZLTF5p3OdGk0mpUnDFOfElsrmDp8vJGXCxESbMlAIpf8IhiT+YMclKj1FOunI\ni+HHJ4gWq9H+GRj0Ku+uLu/tJhh0MWnq1eCwpuuu0uMPhjCbBGaT4NiRSkBSkzeQPOtIIGy85SWX\njaiYTIJJPuX40GQX5Xcu5X7/TQA0iAIe9l+dsL8jnLP70/UVac+tengDSXSOfcTOjjG0BxU6Adhd\no1RwVD1X8XEYZ404K/J8RMEIThhyAq6D9zDJdD8jCkYAsHbgfOVY10Da5inPMWkCT1e/3KX3YWAA\nihQtmEqXHGtn47LlvnTk0Y82Jd1e5FRqFXRGPx0vtXHbzbEabdC9OpgNpCtYo+qwp0gp52v/gCk9\n0zwDg0QC4RRd2yqbWbyjppdbY9AdJFsK1JOlIxW+YAirWTmnW6OvTrrkGPAojxZH2nMGgyGO9CkG\nou3wAUwaWsQbprMZ0fYSkz1/5Rs5LmZ/k4hOFl5cnF4rrHrgDza0JbyW7cuketHq3FUv/b66sKEd\n3v7PRbtijJd+zn5MKZvCtP7TeO877/HXM/6K8A2i2DyGd7/9LteMv4YJQ8ayo2QVFWVTCH29MHrB\nKdcoj76Oe9oM+jb1rb4Oe5qPuP8jrvvHkqSvxRuOLps557OO/HX+9sjz+86N9nVOW+crN6vp/VSU\n4NFgtJaAEJEA6rYckJDqcRHdkGTbjV3cDgMD3WgH3prmvqNzM0hPZwzteZsrI5lHXLaoHCRJrGHU\no21JlG2oeJp8vPqbpQCM3PkBtjFjAChLIvVQMQkRk64qXbn5PbWKwfnx+oMp98l1tJ+nOoCqXj7t\nW/PKsj0xx80+ZzbPnfUcADXNXg62SPzBEEIIfjb9Z8wcPJMDBTvw24to3FaH9Iczknz7L4qExJcb\nKcEMep4pv/6MmY983uHjF21P7viR8VIIu6VPSR9VLzYo/ZzTau5UVjBFOhLFbUv0aEfqKvizPzd+\nOo32VUKI94CRcfrsuUBtzzXRwCAWrSYrmE5rYNCn6Ix0ZEtF1IupPU9SvXMg7EVO49He8FU5dQdb\nqTO9y4jdHzHh2LOB2JLB8ZhMglJ31BBvTLO0etaRA1K+1leIMbTDP2N1GVj7q46fTAshsJqUCcsf\nP1dynX+ikeL0d/VnQ/9FhGSQuvzD8ZdrJGZWl+HRNkhLut9lR5EyTgphM+MPyqTSsFzkzLj+yhVO\n8ddRElYA7BZafcHIeC80q4O5IB1JHekDi4ADQD9iNdlNwJrubJSBQTq0Hu2gUemtTyFJPfDYLR33\naGuxmNIY2jXb4fUbwxcsSHp8MBBiw8JynMMkdds/JSQkrrKBAKnzcqNIR7Sv17X4YvJ6axla7Eq6\nvS9hM0ffC184wFVdBtZ6+wPB1L/xZO/3yUNPJmj202CuoaFwNLWzX2TgA/eHL+oGX2tXNN/AIEJ7\nOaMlsRptZ3hVLcdl2gAcN6qEfEe0HxNCKFVfO+HRjs8kosr91HOq6f2027KZdBrt3VLKeVLK4+M0\n2iuklLktLjLIaQIa4zqQAxHHBpmTyly9ceaIlMZpOsYNzOfMCYrXRWuc7a/3xO64V6OxzB+U9FyL\n3txGY3Ubbzuf55JFErMEETbe/3zNtJh9H7l4ImVO5XrxObFr06T3SpY/u8+hGUjVZfRky+npvH7J\nCvoU2guxmeyUuw7SlDeM6pdfixruhnTEoBtoTwaieLQTDce2QO6PX75AKKZPFXReg65otKP/u+zK\nxETVzysebVU6ksOGtooQ4jghxDIhRLMQwieECAohjGSkBr2G1qPdV5beDPTRUU9JICSxhD2oYwbk\npd7RHza8b/40NpGrhr0b62gtO8hNnyn5uM3FxZHXRpflcfspoyL/j+mfxxHFyoCgGs9/vVYxxtPd\nRzrPfl9Bm/FFHZRVvaVWEZbuN25PMiGxmqwcP/h4dg5YgzSZqS0eh2flSuVFmyEdMWifdPETyWhv\nHJLEao5Vw7EveLTj060KoXjsO6/RTpyYaDOZqNKRXNC663Gb/Am4CtgKOIFbgD93Z6MMDNIRMAzt\nQxan1YwvGEorJ0hGMCQjkhGr2RRjDMew9nXF6zn02KQvB/xB6g604KvfwbidfgouuIAx8+fF7JOn\nCbYUAhzhf9USzEOKFFlI2gnDIfC1tpi1hnasR1s70fCn+aztKQJkjyydQGXJOgDWTryDun//W3lB\nhmDn/E6126Dv05Rp5pF2fq8yTjuiVoht6wMrsr54QxuBy9pZ6Uh8lhalE1X7CZO2+FcuB0NqkVJu\nA8xSyqCU8gXg7O5tloFBarQebX8HipcY5C6RSPMMP3d/MBQxdCHWGI4gpSIdGXpMSm/2V69vA+Dw\nfRWYhg1h8KOPIGy2mH3cdu25BU6Lcl1L2PuqprVLFSwkpaRck9ZvaLEz/c3lKNrPI35QjvFopzFG\nil22pNuvHn81PktUFlS1ZpfyRIQ/V78n8SADgzAtGRraelag4vNoA+SAvLhdknm0XTZzpzzNSjCk\nNr1f2KPdV6UjQKsQwgasEkL8TgjxI53HIYQ4WwixWQixTQjxsySvCyHE0+HX1wghpoW3O4QQS4UQ\nq4UQ64UQD2Z0VwZ9mkBIUupWBthciDg20E97K7YOW8cCYIIa6QjEG8NhPHWKx3PMWYmvATIkWbdg\nP0gvEzfOoezGmxDmRI9qnubcISlxhHdRl6NVQztZ/tdWX4DffbKZ9zTFmPKStbUPcPr4aKYC7TJz\nKCRjvgfpAkzVAfiOU0bHbC+0FyLaRvHxFKU4zW7HBEJeL4w7T9nhjVs623yDPkzGhna7Hu3Y4D5H\nxNDOfY+2urqoZlwSdFzipyLj0/vZlfdL/Vxi0/tlvw2gx2C+DjAD3wdagGHAJe0dJIQwo0hMzgEm\nAFcJISbE7XYOMCb8dxvwTHi7FzhNSjkZpTjO2UKI43S01eAQIBiSnDNxIELkRrJ6g8xJVZPF1cHO\n1R+UmDVe6jxHEuNVLb3uTl4R8i93zgWgoH4V1RMGUnz11Un30xrxLd4AjrBHW21zJFo+yT1c/uzX\nPDNve8w2raH9zl0nJL1mLlLotPLa7ccDxAROtQWUwhTTR5TQL8+GL410JBS2cK6aPizhNVtwJLuc\nSxjSr4kDA4/HX1MHI05UXqze0oV3YtDXaMowxV975nJ8ujq1D8hljbYlbgKserb9IdnpPNpSxi4q\nqtKRqEdb9C2Pdjj7iEdK2SilfFBK+eOwlKQ9pgPbpJQ7pJQ+4BXgorh9LgJmS4XFQJEQYlD4fzVi\nxRr+y/2pn0Gn8QVCNHr8FDqtOCydW54yyD0isosMO/HqZm/MQKcaryce3i+6saVKeXRrtoX59Ll1\nkedHbXqPwVNmpqzQqHpfQCnAUu1Ruq5d4fLi6QztdfsT48y1hvvo/mkCOXMQ9b3Qfp5aT5jbbknr\nXVRVZMnyoRcEjwYkrcW7CVqcHFy6BYYcDaNPg+qt7bshDQ5ZMi2Prg2eTJbqT8aVYFe/97ns0U5V\nQGzxjppOZx1JDIZU+sAWX9SjHQ2GzH75aMo1SSHEWtIYt1LKSe2cewiwV/P/PmCGjn2GAAfCHvHl\nwOHAn6WUSWubCiFuQ/GGM2DAAObNm9dOs7qe5ubmXrnuoYL2/a1rCxEISZor9mIhyPZde5k3r7J3\nG5jjZNP3d+N+pYrfkiVL2OlK9ANsrVI62q8WL+VAkb682tUepSN+ackezixWKrdtD5/nYHVt5N7L\nKr/iSGDZxt207J0XOd7bJNn2jaSh4AAl2x/B4Q1SftTR7Evxnm2tiw7SK9euQwR9qMPsvHnzIl7Y\ndZu3M0/uTXaKGFoaovXBvv7qS6xppBS5Rnmz8tkcrK6LbPtiwVfU1SnVOWUAdu+vSPn93LhP/b4s\nZrsz9vviaShB5pt53vkB3+Eo1ry3hJ1FIaZWHaAQyTfvv0BzfoqgWAMgu/qGnmTJilUE9uuXbDV6\no6bSZ3PnYTfH/kb37/cS8AdixjGAplZvzr6/MhTOFOSNvYc9+8opsAlavYEO3VsgJJm7uRUBkePV\n97e+WYmtmD9/XsQ43bR1O/NI3o9my/c33Tfp/B5rRRKklEFgihCiCHhLCHGUlHJdkv3+BvwN4Jhj\njpGzZs3q2YaifBl647qHCtr390CDB+Z9wbhxY5HbN9JmK2TWLENV1Bmy6ftbs3wfrF3NjBkzOKzU\nnfC6fXsNLF/M+IlTOH50qa5z7qxugfnzOPvIgcyadTQA+btr+f3yr7G78pg16yRlx0VrYQMce8o5\nkB/VD+9aW8021rC24HX+d32Q0MihnHzxxSmvN+hgEw8tWQDA/1x+Gp/PW8BHexVvduR9/uQD3t/h\n50+3nRl78McfJJxv/MihfFOxG4DTZ83C1IcM7X11rbBwLlaHGxqaAJh89LEU7l2HAArDS8izZh2f\n9PiKZXtg3VpmHn88g4tig0YPfPwB9vqjqShaiot6GgP9uWDWLBjwC3j1Wo5p/AgueL2b7zC3yaa+\noUcI//4OO3wcs44eqvuwqiYvzJ0DwLHHnUCJOzZI97O6tdhqD0beywaPH+Z9irDac/b9LVs2l5aa\nVu46YzyzThwZee+umTWJrZXNfLhzCyeedHIkCFwv6/Y3wKcLkUT7y1ZfAOZ+gi9kAkKceuqpANg+\n/4iBQ4Yxa9b4pOfKlu9vewVrdkspdwNtwMTwnye8rT32o+i5VYaGt2W0j5SyHpiLkenEgOhqr0DR\nay3aXtOr7THoHkSKkjWRQMIMJENqlppzJg6MbFPlGDHnWfo3cJXGSEeklHzz8U5CtPHzVxSvyeDr\nb057vX55yiDrsplxWM2RYMj2aGzzJ92uDQbsS0Y2aKQj/ugyc6svCOH0Xm67Oe0yfjrpCIC/9kQQ\nYMqvpMnWn5bVa6M67a2fds1NGPQ5OpN1pLrZm+T1VBrt3JaOnDlhAN89cWTM9nMmDtL8rjtW8yAe\np9WMEIkZTpxWc9/QaAshLgeWApcBlwNLhBCX6jj3MmCMEGJkOGvJlcC7cfu8C1wfzj5yHNAgpTwg\nhCgLe7IRQjiBbwGbdN+VQZ9F/QmmCpYz6Nu4MtRoe3xBmsIGrNZgVTV/kRysB9dB/R5orQFT1DLe\ns76Wiu1NjN7xHtZAK64ZMyi64oq01yx22bBbTNx37viY6+ZrAjAnDimk2GXl52+uoaKxjfpWH0t2\n1CY9X01L6gqSuY4zSRYZjy8YLvAhFI12Gq2nKsNJNf8I+foT9AxloXMpQbOdnXM3gLNY0WqXjum6\nGzHoE6i63+ZO5NFetac+8WUJWpW21Swwm0ROp/eLz3X9yT0n8+jFE4H0mZXaIz4vN4TLuoeN9/gJ\nS0sOvIl6REi/AI6VUlYCCCHKgDnAf9MdJKUMCCG+D3yCkrXkeSnleiHEHeHX/wp8CJwLbANagZvC\nhw8C/hXWaZuA16SU72d6cwZ9mxtnjuCNFft6uxkGPUi6QMJknPDYF9SGDVVtlHxCxLpXkS0wMBp6\nIqVk1Zw9mK1Bhu9biPehHzH+ktvavabJJNj823Nitv39+mMYNzA/8v+4gfms3d/Ay0v3Ut3s4/ON\nFaSqvVTV1Jb8hT6Aw5IkGNIfiAzieTqDIZMFpl4ybShvrNiHr/ZE1g79kCmVUF0dvk7pGNizqOtu\nxKBPYDWZaCNEszfAO6v2U5ZnZ+bhicHR8Wh/usknhjLGQBRCKeqSy8GQ6mRYZezAfMaG+7hMHSJa\nvClS9ioBlsGYtc4il5X61uQrgdmEHkPbpBrZYWrQX+jmQxRjWrvtr5rnErgryXFrgKl6rmFwaKFG\ndwsETltuLBsZdB2ODA3tWo03WCsvKHRaAaIVIlVD+9wnIvssfmcH+zbVUdywHJ8lwLCT4vTUGfCt\nCQNi/lcHIlCWQ9MVOM13WDt83WzHZBLYLaaYAbnVF4wstStZR9KUqk/j0f721MG8sWIfgaYJtAx5\nBVPQy+YDeZzs82EqGASN5eBtBnvfyuRi0HHUn2GLN8Ddr6wCYNej57V/nOb3W5dkBSo+6wgoubR9\nwdwdv+JT8GlJlk1IL6n6QkfEox19J4tdNupbs3/FT4+h/bEQ4hPg5fD/VxBnPBsY9BSRDk0oP2Z/\nUOIPhrBmGHBhkJ2059/JZEly3ubYbDRa6YjNYoodQJf9XXl0KQGWoZBk/YL9CEszk1a/zIGLZzKt\n/4h2r6kXp6YyZbp7+b+rpnLi4f2YuuGzLrt2tpHvsOBtjg6Wrb5guGCFwG0z0+ILJBT8UNlfp2Qh\nSKbRjkxmpI0pZVMIWaoJySEcnLOEwYPGQCigSIUMQ9sgjBrPkal0RKvRbkySgzteZgHK+OUNdTwF\nXm8Tn4JPS0QS1gFHmCoHe+76Y2K2q79n7RVL3DY2HkxMiZptpLROhBB/FkKcIKX8CfAsMCn89zcp\n5U97qoEGyZm7uZIRP/uA3TUtvd2UXiHXKkMZZEYqDX4m0pEbX1gW83/aQML6PcpjqVJhsGJHA97W\nAP7GVxHCz+m/erb9RmeAW+PRXrorVpv9zDXTIs8vmDyYYreNN++cye8vm9ylbcgW1NUFlRZvIMaj\nLWVqz9izC3YAyT9bpzU6mTmydBKfjlF8Rcs/2gW2cEYbX3PCcQaHLqqR15xpwRqNh6DRkyhliJdZ\ngBI0ubIid8euONl5DGqBmY5Uh1TzkJfl22O2q84J7dhQ7LYmXUHINtK5AbcATwghdgHHAS+Gi9W8\n1SMtM0jL+6sPAKQMoOrrCCEiZWzbciBhvUHXYDYJbHFSA73EVzKLwV4Ao2ZFevE1C/YSFAFGyQbs\nQ4djsnRtGXSnLXUqEleSkuvThhdzSQbpxnKJpIZ22HBRs8O0lwUi2UerlecMyxvFjtK95PkPUud1\nRb3YXsPQNoiifu/SBeAmPU7zPFn2oGQe7VZfkLbctbOVzEApXopKRwL4gyH+OGer7gI2qTIJqVWB\ntROWYpeNBo8/shKRraRL7/dHKeXxwCkouuznhRCbhBC/FEIc0WMtNEhKXrj6XKYdQjbynb98xeQH\n9aXa0noODI/2oUlHUzqlLQRYux2s7vB+kh1rK9lVtJLDl23HUqovX3cmuGypDfe+VJBGD0Wu2JzD\nzV5Voy0iFTzbyyyQTDqincxMLJkOgINdNItCAs7BygtVRjIrgygRj3YnKkM2epJIR0htlOYqktRp\nNbXSkbdW7ufJOVt4as5WXeeNZBKKs04jE2etR9tlIySTryJkE3pLsD8mpZwKXAV8G9jY7S0zSIvq\n9eqIZy/bWLmnXkngrwNVC6eVjhhl2PsOMq01rOC0mju0JJksbRQA+1coWt0tHwGwa001IY9g5kZl\nYHCfMDPja7WHK41H23yIGdpaj3a+mmVESuU3bot6xtLRnqFtE4UA7A+sRwoTtb5ByguN8aUdDA5l\nVCMv4zzamm4r2VimeLRjv6P/c6bir0zZL2U5ISlTSvxc2rSd4fcmWX7xZEQDnGNP7kii0S5yKX1H\nfa4b2kIIixDiAiHEf4CPgM1A6rJoBj1Cns4l1b5GpGCNAKdN+fp2xOgyyF2cNnOHJle+YIoBrUmR\nYXHij5BS8vnra6lzlDNuy1LsY8bQ7/bbO9Ha5KSTjmT7MmhXozW08xyWWI22TZ9DIdmAry41q8ef\nPvx0yosUw/rg6nDJ5vmPQeuhKb8zSET96WWq0daSLJBSJgnzdnZCx5wNJMukoqLNOpJpkTG1m04p\nHdFsdnWggFlvkC4Y8ltCiOeBfcCtwAfAaCnllVLKd3qqgQbJ6UyeymxFjzdTW7Am01RvBn0Dp9Ws\n63tvs8R2b/5UhrZfyVzBpCup2NmAtxq8Basxh/yU/egeRBfrsyFqQCZj+siSLr9eNqN6pUBxIKiG\nSqxHO3NDW1v62eML8vgpj7NmeA1WXyNfflxNsGyK8mLdrk6136BvoB1/DjZGc9frmfiqh+alKrCU\nRKNdHP7eV+n09GYbEqlLOuJKUpQqHamKUEWzjiTWQ8h2GyCdR/vnwCJgvJTyQinlS1LKQzPFRRai\nDtQZV7DKYjKZNAiEIR05RNGbP90RZ2inXKLdrEhGyOvP119uICD8nHVgP5hMOI46qrPNTYrLntyj\nbbOYsJhNTBlW1C3XzUYSPNo+bTBk2NBO088NcAnslvR17lt9QawmKxeeehv5dXMB2DL8t8qL//gW\nfPFQJ+7AoC+Qyp7WE8SneqzddjOtSfTd8SXYAQ4rVWJC9ta2ZtTObCEUIqVL224xYRKKca06PPSO\n71GNduzJk2UdicRpZbnDMV0w5GlSyueklHU92SADfdjVUrGdWOLKNvRMGrReB0eO/MgM9KNHNOG0\n6pOOeMOGdZ7dwmGlLk4b1z9xp/o9sO6/UDAUnEXs3V5Ndf5e+n2ziYLzz8PaP8kxXcDQYmfS7epk\n4M3vzWT7w+d2y7WzDa1H222zhAvWyHD1PGVwfe2bvQmTK9XTOHNw6tWB+88bD0SNpf7uAewu/Ayn\np4qvv/DTGixU8mkv+B14jKHuUEb9PjmtsZO29gzEJz7ZzKV//RpQsuT4gqGESb1MknM635H7zrJU\nebTVkulKTnxlm16HmLp/gnQk7NHWrjB0Jl93T2JU+chR1C9jvSf7c0jqRZehHX4UwgiG7MukCrIB\nZYLV3jLkvrpWJoe9wssfOIP5PzmV0jx74o7r31YeL/0HAMFWMNv9SI8H55FHdqjteujnTtIWDSaT\nOGSCIouc0awjLpvy2ar6T3Ugnbu5it9+sCHmONXwtqYZxc6bpAQ9qsbSpLJJfHS0iQkb/0mbJ8Ty\ngt9Ed961sAvuxiBXUT2pqgGs0l4c1J/mbqOqSZF/5EeSFMQek8yj7U6xb64g0wRDguKB9viDBMPv\nq17piGpIx3d/6njv1Uxi+uc7uHrGcAYWOjJoec9jGNo5irpUVd+a3dG2maDHO6+VcatLznV96D0w\naB890pETH5vL0p21jCpzp5cV7PkaHIUw/DgAhNeKUyjfQ3NR98k30hbPOcQo0EhH3HZLxAumFKyJ\nfnbbK2OVi3/4bAsAB1pSr4O44oIpx5WMY9KEU1kwbjfFtZvY23Q43LtT2fnVa43AyEMYrc5aSyaS\nRtV4jncaJQscVItWZZpKMFtQ0vulfl2ZNAciBWgylo6IeOlIYj8+sNDBw98+iiMHF+prdC9hGNo5\nTlMfkI5YzcoPSl8GlXB6PyEoclmxWUxUaAJXDHKXxjY/FQ3tf5Yuq1l3/vi05mzTQdj8IYw4CYBQ\nMITVb2fMhnKwWnFMnKjrGgadQysdcdrMtPoCkSSeDos2c0jsZ758tyL1qPOmM7TVQKzosb875Xcs\nGm+iqH4bdZVeqmutMOlK5cXdiyDQd1YJDfSjGnh5GXi061tjvyvuFGl31bzwWiKTwByVjqQrwQ7R\noPVQR6UjpuTSkcj1W2v5ctET3P/Y9/jwq3/rb3gvYBjaOYr6ZczVZSctqgchWUWtVAiUjqvYZaXB\n8GinZMGWKjYfbOrtZuji3D9+ye/DXsp0uO2WpAFHyUgVFQ9AxXrl8ahLAPA0K9+j/Nr/2eP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Y8D0NrSHwD3CTOTniMbMQztLERPnuv47vyfi3alPafWo93o0Wi09QRDap53p8GW57C0qzePZNGO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\nRK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x269555d2b70>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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b7eaaqwIzgxmncC0JldCm8vudPr336YT3MRXzzQNlbPyGQUsqE8iGtg1JbbPF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\nYSc5/vfj5By6+evcNKpa7QcYBfzBa3scML9CmlVAktf2eqC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      "text/plain": [
       "<matplotlib.figure.Figure at 0x269563515f8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "N=252\n",
    "\n",
    "\n",
    "HDD=np.array(df.HDD)\n",
    "LDD=np.array(df.LDD)\n",
    "ODD=np.array(df.ODD)\n",
    "CDD=np.array(df.CDD)\n",
    "\n",
    "\n",
    "std_CtC = CtCHV(df.CDD,N)\n",
    "std_park = parkinsonHV(HDD,LDD,ODD, N)\n",
    "std_gk_v2 = GermanKlassHV(HDD,LDD,ODD,CDD, N)\n",
    "std_rs = RogersSatchellHV(HDD,LDD,ODD,CDD, N)\n",
    "\n",
    "# or  using\n",
    "#std_CtC = CtCHV(df.CDD,N)\n",
    "#std_gk_v2 = GermanKlassHV(df.HDD,df.LDD,df.ODD,df.CDD, N)\n",
    "\n",
    "\n",
    "df.CDD\n",
    "\n",
    "dfrets = (df.CDD).pct_change().dropna() \n",
    "#dfrets =np.log(df.CDD/df.CDD.shift(1)).dropna() #log diff returns #comfirm many times\n",
    "dfrets\n",
    "\n",
    "mean_rts = dfrets.mean()\n",
    "var_rts =dfrets.var();\n",
    "T=len(dfrets);\n",
    "sigma2 = np.ones(T)*(var_rts)\n",
    "args = (np.asarray(dfrets),sigma2)\n",
    "analized=1 # or we should set to 252\n",
    "\n",
    "finfo=np.finfo(np.float64)\n",
    "garch_type =0\n",
    "#when garch_type set to 0--> garch 1 1\n",
    "#when garch_type set to 1--> GJR\n",
    "\n",
    "if garch_type == 0:\n",
    "#demo volatilities with given parameters\n",
    "    startingVals = np.array([mean_rts,.09,.90]) ##change\n",
    "    bounds  =[(-10*mean_rts,10*mean_rts),(0.0,1.0),(0.0,1.0)]\n",
    "\n",
    "    estimates = fmin_slsqp(garch_likelihood, startingVals, f_ieqcons=garch_constraint, bounds=bounds, args =args)\n",
    "\n",
    "    print('Initial Values=',startingVals)\n",
    "    print('Estimated Values=',estimates)\n",
    "    sigma2 = np.ones(T)*(var_rts)\n",
    "    loglik, logliks, sigma2final = garch_likelihood(estimates,np.array(dfrets), sigma2, out=True)\n",
    "    garch_vol=np.sqrt(analized*sigma2final)\n",
    "    ested_vol = pd.DataFrame(garch_vol,index=dfrets.index,columns=['Garch estimated vols'])\n",
    "\n",
    "    plt.figure(figsize=(12,7),dpi=980)\n",
    "    plt.grid(True)\n",
    "    plt.plot(garch_vol[N:],label='Garch 11 Garch Vol')\n",
    "else:\n",
    "    startingVals = np.array([mean_rts,\n",
    "                       var_rts*.01,\n",
    "                       .03,.09,.90])\n",
    "    bounds  =[(-10*mean_rts,10*mean_rts),\n",
    "         (finfo.eps,2*var_rts),\n",
    "         (0.0,1.0),(0.0,1.0),(0.0,1.0)]\n",
    "    estimates = fmin_slsqp(gjr_garch_likelihood, startingVals, f_ieqcons=gjr_constraint, bounds=bounds, args =args)\n",
    "    print('Initial Values=',startingVals)\n",
    "    print('Estimated Values=',estimates)\n",
    "    sigma2 = np.ones(T)*(var_rts)\n",
    "    loglik, logliks, sigma2final = gjr_garch_likelihood(estimates,np.array(dfrets), sigma2, out=True)\n",
    "    gjr_vol=np.sqrt(analized*sigma2final)\n",
    "    ested_vol = pd.DataFrame(gjr_vol,index=dfrets.index,columns=['GJR estimated vols'])\n",
    "    plt.figure(figsize=(12,7),dpi=980)\n",
    "    plt.grid(True)\n",
    "    plt.plot(gjr_vol[N:],label='Gjr Garch Vol')\n",
    "# end if-else\n",
    "    \n",
    "plt.plot(std_CtC,label='CtC HV')\n",
    "plt.plot(std_rs,label='RogersSatchell HV')\n",
    "plt.plot(std_park,label='parkinson HV')\n",
    "plt.plot(std_gk_v2,label='GermanKlass HV')\n",
    "\n",
    "\n",
    "plt.title('Histirical Volatilites')\n",
    "plt.legend(loc = 'upper left') #must show up otherwise label 'xxx' would show up\n",
    "plt.xlabel('Date',fontsize=20)\n",
    "plt.ylabel('Volatility')\n",
    "\n",
    "ested_vol.plot(grid='on',color = '#32CD32',title='SH60000 volatility with estimated garch')\n",
    "\n",
    "\n",
    "print('ested loglik=',loglik)\n",
    "ested_vol.describe()\n",
    "\n",
    "        "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style>\n",
       "    .dataframe thead tr:only-child th {\n",
       "        text-align: right;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: left;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>estimated vols</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Date</th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>2000-01-05</th>\n",
       "      <td>0.024435</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2000-01-06</th>\n",
       "      <td>0.023683</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2000-01-07</th>\n",
       "      <td>0.023091</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2000-01-10</th>\n",
       "      <td>0.022827</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2000-01-11</th>\n",
       "      <td>0.021896</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2000-01-12</th>\n",
       "      <td>0.024952</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2000-01-13</th>\n",
       "      <td>0.027887</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2000-01-14</th>\n",
       "      <td>0.026772</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2000-01-17</th>\n",
       "      <td>0.027404</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2000-01-18</th>\n",
       "      <td>0.026145</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2000-01-19</th>\n",
       "      <td>0.025234</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2000-01-20</th>\n",
       "      <td>0.024067</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2000-01-21</th>\n",
       "      <td>0.023058</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2000-01-24</th>\n",
       "      <td>0.022172</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2000-01-25</th>\n",
       "      <td>0.021232</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2000-01-26</th>\n",
       "      <td>0.020483</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2000-01-27</th>\n",
       "      <td>0.019784</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2000-01-28</th>\n",
       "      <td>0.018962</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2000-02-14</th>\n",
       "      <td>0.018406</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2000-02-15</th>\n",
       "      <td>0.023028</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2000-02-16</th>\n",
       "      <td>0.029463</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2000-02-17</th>\n",
       "      <td>0.028854</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2000-02-18</th>\n",
       "      <td>0.027830</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2000-02-21</th>\n",
       "      <td>0.026721</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2000-02-22</th>\n",
       "      <td>0.026615</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2000-02-23</th>\n",
       "      <td>0.029148</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2000-02-24</th>\n",
       "      <td>0.027860</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2000-02-25</th>\n",
       "      <td>0.026581</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2000-02-28</th>\n",
       "      <td>0.025553</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2000-02-29</th>\n",
       "      <td>0.024581</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>...</th>\n",
       "      <td>...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2015-08-18</th>\n",
       "      <td>0.021300</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2015-08-19</th>\n",
       "      <td>0.022873</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2015-08-20</th>\n",
       "      <td>0.021880</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2015-08-21</th>\n",
       "      <td>0.022256</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2015-08-24</th>\n",
       "      <td>0.023985</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2015-08-25</th>\n",
       "      <td>0.040279</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2015-08-26</th>\n",
       "      <td>0.040495</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2015-08-27</th>\n",
       "      <td>0.039460</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2015-08-28</th>\n",
       "      <td>0.039588</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2015-08-31</th>\n",
       "      <td>0.037762</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2015-09-01</th>\n",
       "      <td>0.036930</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2015-09-02</th>\n",
       "      <td>0.035365</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2015-09-07</th>\n",
       "      <td>0.035152</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2015-09-08</th>\n",
       "      <td>0.034715</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2015-09-09</th>\n",
       "      <td>0.033669</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2015-09-10</th>\n",
       "      <td>0.032051</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2015-09-11</th>\n",
       "      <td>0.030518</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2015-09-14</th>\n",
       "      <td>0.029252</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2015-09-15</th>\n",
       "      <td>0.028142</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2015-09-16</th>\n",
       "      <td>0.028785</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2015-09-17</th>\n",
       "      <td>0.027433</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2015-09-18</th>\n",
       "      <td>0.027179</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2015-09-21</th>\n",
       "      <td>0.025984</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2015-09-22</th>\n",
       "      <td>0.024826</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2015-09-23</th>\n",
       "      <td>0.023691</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2015-09-24</th>\n",
       "      <td>0.022753</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2015-09-25</th>\n",
       "      <td>0.022016</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2015-09-28</th>\n",
       "      <td>0.021318</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2015-09-29</th>\n",
       "      <td>0.020675</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2015-09-30</th>\n",
       "      <td>0.019770</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>3715 rows × 1 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "            estimated vols\n",
       "Date                      \n",
       "2000-01-05        0.024435\n",
       "2000-01-06        0.023683\n",
       "2000-01-07        0.023091\n",
       "2000-01-10        0.022827\n",
       "2000-01-11        0.021896\n",
       "2000-01-12        0.024952\n",
       "2000-01-13        0.027887\n",
       "2000-01-14        0.026772\n",
       "2000-01-17        0.027404\n",
       "2000-01-18        0.026145\n",
       "2000-01-19        0.025234\n",
       "2000-01-20        0.024067\n",
       "2000-01-21        0.023058\n",
       "2000-01-24        0.022172\n",
       "2000-01-25        0.021232\n",
       "2000-01-26        0.020483\n",
       "2000-01-27        0.019784\n",
       "2000-01-28        0.018962\n",
       "2000-02-14        0.018406\n",
       "2000-02-15        0.023028\n",
       "2000-02-16        0.029463\n",
       "2000-02-17        0.028854\n",
       "2000-02-18        0.027830\n",
       "2000-02-21        0.026721\n",
       "2000-02-22        0.026615\n",
       "2000-02-23        0.029148\n",
       "2000-02-24        0.027860\n",
       "2000-02-25        0.026581\n",
       "2000-02-28        0.025553\n",
       "2000-02-29        0.024581\n",
       "...                    ...\n",
       "2015-08-18        0.021300\n",
       "2015-08-19        0.022873\n",
       "2015-08-20        0.021880\n",
       "2015-08-21        0.022256\n",
       "2015-08-24        0.023985\n",
       "2015-08-25        0.040279\n",
       "2015-08-26        0.040495\n",
       "2015-08-27        0.039460\n",
       "2015-08-28        0.039588\n",
       "2015-08-31        0.037762\n",
       "2015-09-01        0.036930\n",
       "2015-09-02        0.035365\n",
       "2015-09-07        0.035152\n",
       "2015-09-08        0.034715\n",
       "2015-09-09        0.033669\n",
       "2015-09-10        0.032051\n",
       "2015-09-11        0.030518\n",
       "2015-09-14        0.029252\n",
       "2015-09-15        0.028142\n",
       "2015-09-16        0.028785\n",
       "2015-09-17        0.027433\n",
       "2015-09-18        0.027179\n",
       "2015-09-21        0.025984\n",
       "2015-09-22        0.024826\n",
       "2015-09-23        0.023691\n",
       "2015-09-24        0.022753\n",
       "2015-09-25        0.022016\n",
       "2015-09-28        0.021318\n",
       "2015-09-29        0.020675\n",
       "2015-09-30        0.019770\n",
       "\n",
       "[3715 rows x 1 columns]"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "ested_vol"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x26955bd56a0>]"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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HiwT9QiaeHyJyZHJlZFaQCJO4lFYM3PEmH+GZz53+PhO3vx+69nWFypM5adHvho5v1RxQ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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x2694f5d0208>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(dfrets)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.9999999957000001"
      ]
     },
     "execution_count": 40,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    " 4.28608607e-02  + 9.57139135e-01"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([-0.01134142,  0.02808544,  0.03501347, ...,  0.02116742,\n",
       "        0.0031407 ,  0.04132749])"
      ]
     },
     "execution_count": 22,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[ 1.44538864],\n",
       "       [ 1.44465533],\n",
       "       [ 1.43378557],\n",
       "       [ 1.41708423],\n",
       "       [ 1.41989503],\n",
       "       [ 1.40034116],\n",
       "       [ 1.37696651],\n",
       "       [ 1.37612201],\n",
       "       [ 1.36497817],\n",
       "       [ 1.36616527]])"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "std_CtC[:10]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "DatetimeIndex(['2000-01-04', '2000-01-05', '2000-01-06', '2000-01-07',\n",
       "               '2000-01-10', '2000-01-11', '2000-01-12', '2000-01-13',\n",
       "               '2000-01-14', '2000-01-17',\n",
       "               ...\n",
       "               '2015-09-17', '2015-09-18', '2015-09-21', '2015-09-22',\n",
       "               '2015-09-23', '2015-09-24', '2015-09-25', '2015-09-28',\n",
       "               '2015-09-29', '2015-09-30'],\n",
       "              dtype='datetime64[ns]', name='Date', length=3716, freq=None)"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df.index"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "3463"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "len(std_CtC)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 47,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "3464"
      ]
     },
     "execution_count": 47,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "HDD=np.array(df.HDD)\n",
    "LDD=np.array(df.LDD)\n",
    "ODD=np.array(df.ODD)\n",
    "CDD=np.array(df.CDD)\n",
    "\n",
    "un = np.log(HDD/ODD)\n",
    "dn = np.log(LDD/ODD)\n",
    "cn = np.log(CDD/ODD)\n",
    "C1=0.511\n",
    "C2=0.019\n",
    "C3=0.385\n",
    "    \n",
    "T = np.size(HDD,0)\n",
    "std_gk_v1=np.zeros((T-N,1))\n",
    "for i in range(0,T-N):\n",
    "    prt1 = (C1/N)*(np.sum((un[i:i+N]-dn[i:i+N])**2))\n",
    "    pprt1 = cn[i:i+N]*(un[i:i+N]+dn[i:i+N])\n",
    "    pprt2 = 2*un[i:i+N]*dn[i:i+N]\n",
    "    prt2 = -(C2/N)*np.sum(pprt1+pprt2)\n",
    "    prt3 = -(C3/N)*np.sum(cn[i:i+N]**2)\n",
    "    std_gk_v1[i]=np.sqrt(prt1+prt2+prt3) \n",
    "        \n",
    "type(HDD)\n",
    "np.size(std_gk)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.012566137700493071"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df.ODD[1:30].var()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Date\n",
       "2000-01-04    3.031553\n",
       "2000-01-05    3.103155\n",
       "2000-01-06    3.055825\n",
       "2000-01-07    3.191748\n",
       "2000-01-10    3.276699\n",
       "2000-01-11    3.307039\n",
       "2000-01-12    3.155340\n",
       "2000-01-13    3.033981\n",
       "2000-01-14    3.019417\n",
       "2000-01-17    2.922330\n",
       "Name: ODD, dtype: float64"
      ]
     },
     "execution_count": 22,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df.ODD[0:10]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 53,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Date\n",
       "2000-01-05    0.023344\n",
       "2000-01-06   -0.015370\n",
       "2000-01-07    0.043519\n",
       "2000-01-10    0.026268\n",
       "2000-01-11    0.009217\n",
       "2000-01-12   -0.046957\n",
       "2000-01-13   -0.039221\n",
       "2000-01-14   -0.004812\n",
       "2000-01-17   -0.032683\n",
       "2000-01-18    0.017291\n",
       "2000-01-19   -0.014803\n",
       "2000-01-20   -0.000829\n",
       "2000-01-21    0.016040\n",
       "2000-01-24   -0.012729\n",
       "2000-01-25   -0.000827\n",
       "2000-01-26    0.017221\n",
       "2000-01-27   -0.005299\n",
       "2000-01-28    0.005299\n",
       "2000-02-14    0.055350\n",
       "2000-02-15    0.045120\n",
       "2000-02-16   -0.064539\n",
       "2000-02-17   -0.009852\n",
       "2000-02-18   -0.013958\n",
       "2000-02-21   -0.006042\n",
       "2000-02-22    0.044645\n",
       "2000-02-23   -0.050724\n",
       "2000-02-24    0.000000\n",
       "2000-02-25    0.012121\n",
       "2000-02-28   -0.012121\n",
       "2000-02-29    0.024494\n",
       "                ...   \n",
       "2015-08-18   -0.003901\n",
       "2015-08-19   -0.031770\n",
       "2015-08-20    0.004696\n",
       "2015-08-21   -0.022336\n",
       "2015-08-24   -0.047661\n",
       "2015-08-25   -0.105121\n",
       "2015-08-26    0.008734\n",
       "2015-08-27    0.039525\n",
       "2015-08-28    0.068993\n",
       "2015-08-31    0.007067\n",
       "2015-09-01    0.031881\n",
       "2015-09-02    0.016239\n",
       "2015-09-07   -0.011475\n",
       "2015-09-08   -0.014359\n",
       "2015-09-09    0.026505\n",
       "2015-09-10    0.010010\n",
       "2015-09-11    0.019073\n",
       "2015-09-14    0.009725\n",
       "2015-09-15    0.001934\n",
       "2015-09-16   -0.014267\n",
       "2015-09-17    0.001958\n",
       "2015-09-18   -0.011803\n",
       "2015-09-21   -0.013280\n",
       "2015-09-22    0.000668\n",
       "2015-09-23   -0.004016\n",
       "2015-09-24    0.002679\n",
       "2015-09-25    0.013289\n",
       "2015-09-28    0.026060\n",
       "2015-09-29    0.015316\n",
       "2015-09-30    0.010082\n",
       "Name: ODD, Length: 3715, dtype: float64"
      ]
     },
     "execution_count": 53,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "tmp3=np.array(df.ODD)\n",
    "rt_sp=np.log(df.ODD/df.ODD.shift(1)).dropna()\n",
    "rt_sp\n",
    "#mydfdf =pd.DataFrame(np.array(rt_sp),index=df.index[1:],columns=['logODD_rts'])\n",
    "#mydfdf"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 43,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "tmp1=df.ODD[1:]\n",
    "tmp2=df.ODD[0:-1]\n",
    "#tmp1[0:10]\n",
    "mydf =pd.DataFrame(np.array(df.ODD[1:]),index=df.index[1:],columns=['far_lag'])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "gjr\n"
     ]
    }
   ],
   "source": [
    "garch_type = 2\n",
    "\n",
    "if garch_type == 1:\n",
    "    print('garch 11')\n",
    "else:\n",
    "    print('gjr')\n",
    "    "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [
    {
     "ename": "NameError",
     "evalue": "name 'garch_type' is not defined",
     "output_type": "error",
     "traceback": [
      "\u001b[1;31m---------------------------------------------------------------------------\u001b[0m",
      "\u001b[1;31mNameError\u001b[0m                                 Traceback (most recent call last)",
      "\u001b[1;32m<ipython-input-27-e2ec5ae9f4b2>\u001b[0m in \u001b[0;36m<module>\u001b[1;34m()\u001b[0m\n\u001b[1;32m----> 1\u001b[1;33m \u001b[0mgarch_type\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0m",
      "\u001b[1;31mNameError\u001b[0m: name 'garch_type' is not defined"
     ]
    }
   ],
   "source": [
    "garch_type"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 44,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "gajr\n"
     ]
    }
   ],
   "source": [
    "garch_type = 'gjr'\n",
    "\n",
    "if garch_type == 'gjr':\n",
    "    print('gajr')\n",
    "else:\n",
    "    print('garch')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "ename": "NameError",
     "evalue": "name 'scale' is not defined",
     "output_type": "error",
     "traceback": [
      "\u001b[1;31m---------------------------------------------------------------------------\u001b[0m",
      "\u001b[1;31mNameError\u001b[0m                                 Traceback (most recent call last)",
      "\u001b[1;32m<ipython-input-15-f9ed90681eba>\u001b[0m in \u001b[0;36m<module>\u001b[1;34m()\u001b[0m\n\u001b[1;32m----> 1\u001b[1;33m \u001b[0mscale\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0m",
      "\u001b[1;31mNameError\u001b[0m: name 'scale' is not defined"
     ]
    }
   ],
   "source": [
    "scale"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  }
 ],
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  "language_info": {
   "codemirror_mode": {
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